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Finding the Fourth Proportional to 6,928.04, 9,562.74 and 4,832.84

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Solution

The fourth proportional to 6,928.04, 9,562.74 and 4,832.84 is: 6,670.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928.04 : 9,562.74 = 4,832.84 : x
  2. Step 2: Convert to fraction form
    6,928.04/9,562.74 = 4,832.84/x
  3. Step 3: Cross multiply
    6,928.04x = 9,562.74 × 4,832.84
  4. Step 4: Simplify right side
    6,928.04x = 46,215,192.38
  5. Step 5: Solve for x
    x = 46,215,192.38/6,928.04
  6. Step 6: Final answer
    x = 6,670.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.